33824952 has 80 divisors (see below), whose sum is σ = 108290160. Its totient is φ = 9662976.

The previous prime is 33824941. The next prime is 33824957. The reversal of 33824952 is 25942833.

It is a super-2 number, since 2×33824952² = 2288254755604608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33824957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 808 + ... + 8264.

It is an arithmetic number, because the mean of its divisors is an integer number (1353627).

Almost surely, 2^33824952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33824952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54145080).

33824952 is an abundant number, since it is smaller than the sum of its proper divisors (74465208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33824952 is a wasteful number, since it uses less digits than its factorization.

33824952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7469 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 33824952 is about 5815.9222828370. The cubic root of 33824952 is about 323.4042550581.

The spelling of 33824952 in words is "thirty-three million, eight hundred twenty-four thousand, nine hundred fifty-two".